Results 51 to 60 of about 92,555 (240)

Table of Modified Bessel Functions

Mathematics of Computation, 1970
Abstract : The report contains 15 place tables of the modified Bessel Functions I sub zero (x), I sub one (x), ((e to the power minus x)I sub zero (x)), ((e to the power minus x) I sub one (x)), for x = 0(001)10.
J. W. W., Henry E. Fettis, James C. Caslin   +2 more
openaire   +2 more sources

Stabilization of the Benzene Radical Trianion in an Inverse‐Sandwich Yttrium Complex

Angewandte Chemie, EarlyView.
A new type of benzene anion state is born: The unprecedented benzene radical trianion embedded in an inverse‐sandwich yttrium complex was synthesized by a one‐electron chemical reduction of its benzene dianion precursor using potassium graphite in the presence of [2.2.2]‐cryptand.
Weiqing Mao, Saroshan Deshapriya, Shenglai Yao, Christian Lorent, Matthias Driess, Selvan Demir   +5 more
wiley   +2 more sources

Radial Covariance Functions Motivated by Spatial Random Field Models with Local Interactions

, 2014
We derive explicit expressions for a family of radially symmetric, non-differentiable, Spartan covariance functions in $\mathbb{R}^2$ that involve the modified Bessel function of the second kind. In addition to the characteristic length and the amplitude
Hristopulos, Dionissios T.
core   +1 more source

Bounds and algorithms for the K-Bessel function of imaginary order [PDF]

, 2013
Using the paths of steepest descent, we prove precise bounds with numerical implied constants for the modified Bessel function${K}_{ir} (x)$of imaginary order and its first two derivatives with respect to the order.
Booker, Andrew R, Strömbergsson, Andreas, Then, Holger L   +2 more
core   +2 more sources

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

Advanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul, Archith Rayabharam, Lisa Almonte, Eveline Rigo, Joshy Joseph, Ashutosh Kumar, Zhuxin Dong, Narayana Aluru, Gregory Timp   +8 more
wiley   +1 more source

Some integral properties in the theory of generalized $k-$Bessel matrix functions

Journal of Innovative Applied Mathematics and Computational Sciences
The main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani, Ghazi S. Khammash, Ayman Shehata   +2 more
doaj   +1 more source

Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation

Electronic Journal of Qualitative Theory of Differential Equations, 2022
We study the asymptotic behavior of solutions to the multidimensional diffusion (heat) equation with continuous time and discrete space. We focus on initial-value problems with bounded initial data, and provide sufficient conditions for the existence of ...
Antonín Slavík
doaj   +1 more source

Discrete index transforms with Bessel and modified Bessel functions

Analysis, 2022
Abstract Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
openaire   +2 more sources

Spatiotemporal Plasma–Mediated Laser Fabrication of Ultrahigh‐Aspect‐Ratio Nanochannel Arrays for Vertical Perovskite Nanowire Semiconductor Devices

Advanced Functional Materials, EarlyView.
A spatiotemporal plasma–mediated laser processing approach is developed to fabricate ultrahigh–aspect ratio nanochannel arrays and corresponding perovskite nanowire arrays within transparent materials for optoelectronics devices. The laser‐fabricated nanochannels serve as templates for controlled perovskite infiltration and crystallization, enabling ...
Taijin Wang, Lingfeng Wang, Feng Liu, Gary J. Cheng   +3 more
wiley   +1 more source

New developments in fractional integral inequalities via convexity with applications

AIMS Mathematics, 2023
The main objective of this article is to build up a new integral equality related to Riemann Liouville fractional (RLF) operator. Based on this integral equality, we show numerous new inequalities for differentiable convex as well as concave functions ...
Maimoona Karim, Aliya Fahmi, Shahid Qaisar , Zafar Ullah , Ather Qayyum   +4 more
doaj   +1 more source